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- W2939973706 abstract "We introduce the categories of quantale-valued approach uniform spaces and quantale-valued uniform gauge spaces, and prove that they are topological categories. We first show that the category of quantale-valued uniform gauge spaces is a full bireflective subcategory of the category of quantale-valued approach uniform spaces and; second, we prove that only under strong restrictions on the quantale these two categories are isomorphic. Besides presenting embeddings of the category of quantale-valued metric spaces into the categories of quantale-valued approach uniform spaces as well as quantale-valued uniform gauge spaces, we show that every quantale-valued approach system group and quantale-valued gauge group has a natural underlying quantale-valued approach uniform space, respectively, a quantale-valued uniform gauge space." @default.
- W2939973706 created "2019-04-25" @default.
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- W2939973706 date "2019-10-07" @default.
- W2939973706 modified "2023-09-27" @default.
- W2939973706 title "Quantale-Valued Uniformizations of Quantale-Valued Generalizations of Approach Groups" @default.
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- W2939973706 doi "https://doi.org/10.1142/s1793005719500303" @default.
- W2939973706 hasPublicationYear "2019" @default.
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